Question

Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.
What subset, A, represents the complement of the event in which Joe plays in the first match?


A = {KL}

A = {KJ, KL}

A = {KL, LK}

A = {KJ, KL, LJ}

Answer 1

Answer:  First Option is correct.

Step-by-step explanation:

Since we have given that

There are three person : Joe, Keitaro, Luis.

And two names will be selected for he game .

Possible events will be

$\{JK,JL,KL\}$

But we want to find the complement of the event in which Joe plays in hte first match,

As we know that complement of any events means eliminate that event from the universal set.

Event of getting Joe plays in the first match is given by

$\{JK,JL\}$

So, complement of this event that Joe plays in the first match is given by

$\{KL\}$

so, First Option is correct.

Answer 2

The possible events are:

{JK, JL, KL}

The events where J does not play (the first game) are: {KL}

Answer: A = {KL}